Article (Scientific journals)
A characterization of barycentrically preassociative functions
Marichal, Jean-Luc; Teheux, Bruno
2016In Results in Mathematics, 69 (1), p. 245-256
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Keywords :
Associativity; barycentric associativity; barycentric preassociativity; string functions; functional equation; axiomatization
Abstract :
[en] We provide a characterization of the variadic functions which are barycentrically preassociative as compositions of length-preserving associative string functions with one-to-one unary maps. We also discuss some consequences of this characterization.
Disciplines :
Computer science
Mathematics
Author, co-author :
Marichal, Jean-Luc ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Teheux, Bruno ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
A characterization of barycentrically preassociative functions
Publication date :
February 2016
Journal title :
Results in Mathematics
ISSN :
1420-9012
Publisher :
Springer - Birkhäuser, Basel, Switzerland
Volume :
69
Issue :
1
Pages :
245-256
Peer reviewed :
Peer Reviewed verified by ORBi
Name of the research project :
R-AGR-0500-1 > MRO3 > 01/03/2015 - 31/03/2018 > MARICHAL Jean-Luc
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 22 September 2015

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